leetcode Container With Most Water

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Given n non-negative integers a1, a2, …, an, where each represents a point at coordinate (i, ai). n vertical lines are drawn such that the two endpoints of line i is at (i, ai) and (i, 0). Find two lines, which together with x-axis forms a container, such that the container contains the most water.

Note: You may not slant the container and n is at least 2.

题意:给定一组非负整数a1~an,代表二位坐标系中的点(i, ai),可以画出从(i,ai)到(i,0)的n条线,找到两条线,使其和x轴围成的木桶容积最大。
思路:从容器两端同时开始找,计算对应的容积,找出最大的,时间复杂度O(n)。

class Solution {public:    int maxArea(vector<int>& height) {        int water = 0;        int i = 0, j = height.size() - 1;        while (i < j) {            int h = min(height[i], height[j]);            water = max(water, (j - i) * h);            //找到下一个比当前容积大的木桶            while (height[i] <= h && i < j) ++i;            while (height[j] <= h && i < j) --j;        }        return water;    }};
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